Complete the factorization shown.
2x²-x-6 = (2x +
)(x-
-
DONE

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer:

B

Step-by-step explanation:

3(x² - 6) + 1

3x² - 18 + 1

3x² - 17

Answer:

The probability that at least four individuals must be typed to obtain the desired type is P=0.2.

Step-by-step explanation:

The donors are randomly selected to be typed.

The probability of selecting a random donor and it does not have type O is 4/5=0.8.

The probability of selecting the second donor and he does not have type O is 3/4, as one of the donors has been already tested and does not have type O.

Then, we can apply the same reasoning for the next two donors and calculate the probability that at least four individuals as:

\(P(k=4)=\left(\dfrac{4}{5}\right)\cdot\left(\dfrac{3}{4}\right)\cdot\left(\dfrac{2}{3}\right)\cdot\left(\dfrac{1}{2}\right)=\dfrac{1}{5}=0.2\)

Answer:

Step-by-step explanation:

It takes Layla 45 minutes to make 9 bracelets on her own.

45 divided by 9 equals 5. It takes Layla 5 minutes to make one bracelet.

Layla and Amelia can make 9 bracelets in 20 minutes.

20 divided by 9 equals 2 and 2/9.

5 - 2 2/9= 2 7/9

2 7/9 times 9 equals 25

Amelia can make 9 bracelets in 25 minutes

So it takes Layla 56 minutes to make 9 ( 45 divided by 9 = 5) so that means in 20 minutes Layla will make 4 bracelets.

this means it will piece together as Layla would make 4 while Amelia makes 5. So i think on Amelia's own it'll take her 40 minutes.

so sorry if i'm wrong :(

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

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Answer:

24

Step-by-step explanation:

40 + 50x = 1240

50x = 1200

x = 24

Answer:

24

Step-by-step explanation:

1240 - 40 =1200

1200 divided by 50 is 24

After the raise, Tyler's brother will make $14 x 1.05 = $14.70 per hour.

Answer:

14 x 1.05 = 14.70

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

5:6 --> 10:12

Step-by-step explanation:

A good way to think of this is to provide a perspective: there are 5 boys every time there is 6 girls. So if there is 10 boys, that means there would be 12 girls (because 5 *2 = 10 and 6*2 = 12).

tl:dr: 5 *2 = 10 so 6*2 = 12

Answer:

22

Step-by-step explanation:

K12 Says Its 22.

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Answer:

The function written in python is as follows:

import random

def simulate():

    count = 0

    for i in range(1,51):

         num = random.randint(200,1000)

         if num == 781:

              count = count + 1

    print(count)

Step-by-step explanation:

This line imports the random library

import random

This line defines the function

def simulate():

This line initializes count to 0

    count = 0

This line iterates from 1 to 50

    for i in range(1,51):

This line generates random number between 200 and 999

         num = random.randint(200,1000)

This line checks if random number is 781

         if num == 781:

If yes, the count variable is incremented by 1

              count = count + 1

This line prints the number of times 781 is generated

    print(count)

Answer:

1/3,11/12,9/8

Step-by-step explanation:

Hi! Let's start off with creating common denominators for all three of these fractions.

The LCM (least common multiple) of these three denominators is 24, which means that the three numbers you see at the bottom of the fraction (12, 8, and 3) all in some way have a number that will cause it to multiply to 24, and will make it much more easier to determine the fraction.

1) Change all of the denominators into 24 by multiplying the right number

11/12×2/2=>22/24

9/8×3/3=>27/24

1/3×8/8=>8/24

So now I want you to imagine that the denominators don't exist. From there, you can sort out the fractions from least to greatest! Hope you understood this :)

Answer:

(-4)¹² now it's solution 16,777,216.

Answer:

\( \frac{5}{6} \)

Answer:\(8.75\ m^2\)

Step-by-step explanation:

Given

Area of circle is \(A=45\ m^2\)

Arc measure \(\theta =70^{\circ}\)

and area of sector is given by

\(\Rightarrow \frac{\theta }{360^{\circ}}\times \text{Area of circle}\)

\(\Rightarrow \frac{70}{360}\times 45\)

\(\Rightarrow 0.194\times 45\)

\(\Rightarrow 8.75\ m^2\)

So, area of sector is \(8.75\ m^2\)

Answer:

8

Step-by-step explanation:

a. It will take 7 months to pay off the credit card. b. it will take 4 months to pay off the credit card.

APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.

a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance. We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:

PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)

where:

PV is the present value of the debt

PMT is the payment amount per period

r is the monthly interest rate

n is the number of periods

Substituting the values, we get:

754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV ×r / PMT)) / log(1 + r)

= log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)

= 6.18

Therefore, it will take approximately 7 months to pay off the credit card if you put half of the available money each month toward the credit card.

b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.

754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV × r / PMT)) / log(1 + r)

= log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)

= 3.43

Therefore, it will take approximately 4 months to pay off the credit card if you put all of the available money each month toward the credit card.

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Answer:

The new image will be 3x bigger than the original image.

Answer:

The height??

Step-by-step explanation:

V /(lw) = h

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

Answer:

y = (5/3)x + 2/3

Step-by-step explanation:

find slope

rise/run

(4--1)/(2--1)

(5)/(3)

M = 5/3

then plug in a point to get the y-intercept

4 = (5/3) * 2 + b

4 = 10/3 + b

subtract 10/3 on both sides

2/3 = b

in y =mx +b the equation is

y = (5/3)x + 2/3

The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

Answer:

it should be B

Step-by-step explanation:

it looks like a proportional line

Answer:

Answer A and answer B

Answer:

Step-by-step explanation:

The total number of significant figures ( numerically as an integer ) in the given measurement 6.07 m is equal to 3.

Here in the measurement 6.07 m

Zero is in between two non zero digit 6 and 7.

Zero is countable.

Total number of significant figure in 6.07 m is 3.

Therefore, the number of significant figure in the 6.07 m is equal to 3.

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Answer:

I think its C

Step-by-step explanation:

Answer:

\(x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7\)

Step-by-step explanation:

x²+20x-12=0

a = 1, b = 20, c = -12

\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}\)

\(x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7\)